Recent advances and emerging applications of the boundary element method

YJ Liu, S Mukherjee… - Applied …, 2011 - asmedigitalcollection.asme.org
Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

Symmetric Galerkin boundary element methods

M Bonnet, G Maier, C Polizzotto - 1998 - asmedigitalcollection.asme.org
This review article concerns a methodology for solving numerically, for engineering
purposes, boundary and initial-boundary value problems by a peculiar approach …

3D fracture analysis by the symmetric Galerkin BEM

A Frangi, G Novati, R Springhetti, M Rovizzi - Computational Mechanics, 2002 - Springer
The subject of this paper is the formulation and the implementation of the symmetric Galerkin
BEM for three-dimensional linear elastic fracture mechanics problems. A regularized version …

Improved quarter-point crack tip element

LJ Gray, AV Phan, GH Paulino, T Kaplan - Engineering Fracture Mechanics, 2003 - Elsevier
We present a modification to the quarter-point crack tip element and employ this element in
two-dimensional boundary integral fracture analysis. The standard singular element is …

[PDF][PDF] On simple formulations of weakly-singular traction & displacement BIE, and their solutions through Petrov-Galerkin approaches

ZD Han, SN Atluri - Computer Modeling in Engineering and …, 2003 - researchgate.net
Using the directly derived non-hyper singular integral equations for displacement gradients
[as in Okada, Rajiyah, and Atluri (1989a)], simple and straightforward derivations of weakly …

Direct evaluation of hypersingular Galerkin surface integrals

LJ Gray, JM Glaeser, T Kaplan - SIAM Journal on Scientific Computing, 2004 - SIAM
A direct algorithm for evaluating hypersingular integrals arising in a three-dimensional
Galerkin boundary integral analysis is presented. The singular integrals are defined as limits …

[PDF][PDF] SGBEM(Using Non-hyper-singular Traction BIE), and Super Elements, for Non-Collinear Fatigue-growth Analyses of Cracks in Stiffened Panels with Composite …

L Dong, SN Atluri - … Modeling in Engineering & Sciences(CMES), 2012 - cdn.techscience.cn
Two-dimensional weakly-singular Symmetric Galerkin Boundary Elements (SGBEMs) are
developed, following the work of [Han and Atluri (2003)], using non-hypersingular integral …

[PDF][PDF] Evaluation of singular and hypersingular Galerkin integrals: direct limits and symbolic computation

LJ Gray - Singular Integrals in Boundary Element Methods …, 1998 - researchgate.net
Algorithms are presented for evaluating singular and hypersingular boundary integrals
arising from a Galerkin approximation in two dimensions. The integrals involving derivatives …

[PDF][PDF] Sgbem voronoi cells (svcs), with embedded arbitrary-shaped inclusions, voids, and/or cracks, for micromechanical modeling of heterogeneous materials

L Dong, SN Atluri - CMC: Computers, Materials & Continua, 2013 - cdn.techscience.cn
In this study, SGBEM Voronoi Cells (SVCs), with each cell representing a grain of the
material at the micro-level, are developed for direct micromechanical numerical modeling of …

A new fast multipole boundary element method for solving 2-D Stokes flow problems based on a dual BIE formulation

YJ Liu - Engineering Analysis with Boundary Elements, 2008 - Elsevier
A fast multipole boundary element method (BEM) is presented in this paper for large-scale
analysis of two-dimensional (2-D) Stokes flow problems based on a dual boundary integral …